THE DYNAMICAL BEHAVIOR OF A DISCRETE MODEL OF OPTICAL BISTABLE SYSTEM | Zendy

YANG YUAN | Zendy; DAI JIAN-HUA | Zendy; Hongjun Zhang | Zendy

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THE DYNAMICAL BEHAVIOR OF A DISCRETE MODEL OF OPTICAL BISTABLE SYSTEM

Author(s) -

YANG YUAN,

DAI JIAN-HUA,

Hongjun Zhang

Publication year - 1994

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.43.699

Subject(s) - attractor , bistability , cascade , discretization , physics , ordinary differential equation , oscillation (cell signaling) , fractal , optical bistability , mode (computer interface) , stability (learning theory) , mathematical analysis , differential equation , nonlinear system , mathematics , nonlinear optics , computer science , quantum mechanics , chemistry , chromatography , machine learning , operating system , biology , genetics

The differential equation with delayed feedback of the optical bistable system is discretized into a two-dimensional mapping. It is shown that the four-fold oscil-lation mode presents instead of single-mode oscillation upon the loss of stability of the system and that the four modes enter chaos with period-doubling cascade independently with the change of parameter A. In addition, a coexisting attractor is found in the window of period-three. The basin of the coexisting attractor is a fractal structure similar to the two-dimensional Mandeblort set.

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